Classification of blowup limits for SU(3) singular Toda systems
Changshou Lin, Juncheng Wei, Lei Zhang
TL;DR
This paper studies the behavior of singular SU(3) Toda systems, showing that energy concentrates at finite points and establishing uniform estimates for bubbling solutions, extending prior results on regular systems.
Contribution
It proves finite energy concentration sets and uniform estimates for bubbling solutions in singular SU(3) Toda systems, extending previous regular case results.
Findings
Energy concentration occurs at finitely many points.
Pohozaev identity yields uniform estimates for bubbling solutions.
Results extend understanding from regular to singular SU(3) Toda systems.
Abstract
For singular Toda systems, we prove that the limit of energy concentration is a finite set. In addition, for fully bubbling solutions we use Pohozaev identity to prove a uniform estimate. Our results extend previous results of Jost-Lin-Wang on regular Toda systems.
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